Predictive Functional Control (PFC), belonging to the family of predictive control techniques, has been demonstrated as a powerful algorithm for controlling process plants. The input/output PFC formulation has been a particularly attractive paradigm for industrial processes, with a combination of simplicity and effectiveness. Though its use of a lag plus delay ARX/ARMAX model is justified in many applications, there exists a range of process types which may present difficulties, leading to chattering and/or instability. In this paper, instability of first order PFC is addressed, and solutions to handle higher order and difficult systems are proposed. The input/output PFC formulation is extended to cover the cases of internal models with zero and/or higher order pole dynamics in an ARX/ARMAX form, via a parallel and cascaded model decomposition. Finally, a generic form of PFC, based on elementary outputs, is proposed to handle a wider range of higher order oscillatory and non-minimum phase systems. The range of solutions presented are supported by appropriate examples.
@article{bwmeta1.element.bwnjournal-article-amcv18i2p229bwm,
author = {Mohamed Tarek Khadir and John V. Ringwood},
title = {Extension of first order Predictive Functional Controllers to handle higher order internal models},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {18},
year = {2008},
pages = {229-239},
zbl = {1234.93045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv18i2p229bwm}
}
Mohamed Tarek Khadir; John V. Ringwood. Extension of first order Predictive Functional Controllers to handle higher order internal models. International Journal of Applied Mathematics and Computer Science, Tome 18 (2008) pp. 229-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv18i2p229bwm/
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